(ij)Yash scored 40 marks in a test, getting 3 marks for each right ans

1.	(ij)Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1mark for each wrong answer. Had 4 marks been awarded for each correct answerand 2 marks been deducted for each incorrect answer, then Yash would havescored 50 marks. How many questions were there in the test?iv) Places A and B are 100 km apart on a highway. One car starts from A and anotherfrom B at the same time. If the cars travel in the same direction at different speeds,they meet in 5 hours. If they travel towards each other, they meet in 1 hour.Whatare the speeds of the two cars?
Answer» 3)Let number of correct answers be x and number of incorrect answers be y. As per given conditions, 3x - y = 40 … (1) 4x - 2y = 50 … (2) (1) * (2) 6x - 2y = 80 … (3) Subtracting (2) from (3), we get, 2x = 30 x = 15 y = 3x - 40 = 45 - 40 = 5 Total number of questions in the test = 15 + 5 = 20 hit like if you find it useful 4)

(ij)Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1mark for each wrong answer. Had 4 marks been awarded for each correct answerand 2 marks been deducted for each incorrect answer, then Yash would havescored 50 marks. How many questions were there in the test?iv) Places A and B are 100 km apart on a highway. One car starts from A and anotherfrom B at the same time. If the cars travel in the same direction at different speeds,they meet in 5 hours. If they travel towards each other, they meet in 1 hour.Whatare the speeds of the two cars?

Answer»

3)Let number of correct answers be x and number of incorrect answers be y.

As per given conditions,

3x - y = 40 … (1)

4x - 2y = 50 … (2)

(1) * (2)

6x - 2y = 80 … (3)

Subtracting (2) from (3), we get,

2x = 30 x = 15

y = 3x - 40 = 45 - 40 = 5

Total number of questions in the test = 15 + 5 = 20

hit like if you find it useful